640428822432 has 960 divisors, whose sum is σ = 2388621312000. Its totient is φ = 167620078080.

The previous prime is 640428822419. The next prime is 640428822497. The reversal of 640428822432 is 234228824046.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 523653373 + ... + 523654595.

It is an arithmetic number, because the mean of its divisors is an integer number (2488147200).

Almost surely, 2^640428822432 is an apocalyptic number.

640428822432 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640428822432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194310656000).

640428822432 is an abundant number, since it is smaller than the sum of its proper divisors (1748192489568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

640428822432 is a wasteful number, since it uses less digits than its factorization.

640428822432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 45.

The spelling of 640428822432 in words is "six hundred forty billion, four hundred twenty-eight million, eight hundred twenty-two thousand, four hundred thirty-two".